Results 101 to 110 of about 1,664 (280)
Nuclear norm of higher-order tensors
, 2018 We establish several mathematical and computational properties of the nuclear norm for higher-order tensors. We show that like tensor rank, tensor nuclear norm is dependent on the choice of base field --- the value of the nuclear norm of a real 3-tensor ...
Shmuel Friedland (7936745) +1 more
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Lipschitz tensor product [PDF]
, 2015 Inspired by the ideas of R. Schatten in his celebrated monograph on a theory of cross-spaces, we introduce the notion of a Lipschitz tensor product X&E of a pointed metric space X and a Banach space E as a certain linear subspace of the algebraic dual of
Chávez Domínguez, Javier Alejandro +3 more
core +1 more source
Rapid Fabrication of Self‐Propelled and Steerable Magnetic Microcatheters for Precision Medicine
Advanced Materials, EarlyView.A rapid Joule heating fabrication method for the production of self‐propelling, adaptive microcatheters, with tunable stiffness and integrated microfluidic channels is presented. Demonstrated through three microrobotic designs, including a steerable guiding catheter, an untethered wave‐crawling TubeBot, and a distal‐end propelled microcatheter, it was ...
Zhi Chen +5 more
wiley +1 more source
Calculating the Projective Norm of Higher-Order Tensors Using a Gradient Descent Algorithm
MathematicsProjective Norms are a class of tensor norms that map from the input to the output spaces. These norms are useful for providing a measure of entanglement.
Aaditya Rudra, Maria Anastasia Jivulescu
doaj +1 more source
Nuclear norm of higher-order tensors
, 2016 We establish several mathematical and computational properties of the nuclear norm for higher-order tensors. We show that like tensor rank, tensor nuclear norm is dependent on the choice of base field --- the value of the nuclear norm of a real 3-tensor ...
Shmuel Friedland (7936745) +1 more
core
Multi-Channel Audio Completion Algorithm Based on Tensor Nuclear Norm
Multi-channel audio signals provide a better auditory sensation to the audience. However, missing data may occur in the collection, transmission, compression, or other processes of audio signals, resulting in audio quality degradation and affecting the ...
Lin Zhu +4 more
core +1 more source
Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Robust Tensor Decomposition via Orientation Invariant Tubal Nuclear Norms
, 2020 Low-rank tensor recovery has been widely applied to computer vision and machine learning. Recently, tubal nuclear norm (TNN) based optimization is proposed with superior performance as compared to other tensor nuclear norms. However, one major limitation
Jin, Zhong +3 more
core +1 more source
Directional Flow of Confined Polaritons in CrSBr
Advanced Materials, EarlyView.CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak +10 more
wiley +1 more source
Hypergraph regularized multi-view subspace clustering with dual tensor log-determinant
Journal of Measurement Science and InstrumentationThe existing multi-view subspace clustering algorithms based on tensor singular value decomposition (t-SVD) predominantly utilize tensor nuclear norm to explore the intra view correlation between views of the same samples, while neglecting the ...
HU Keyin, LI Ting, GE Hongwei
doaj